Unit 01: Methods for Physics CON CEPTUAL WORKSHEET C: GRAPHING METHODS 100 1) Th
ID: 1877960 • Letter: U
Question
Unit 01: Methods for Physics CON CEPTUAL WORKSHEET C: GRAPHING METHODS 100 1) The following problem0 a) What are the units of the 80.0 60.0 b) What is the value of the 40.0 refers to the graph at right. slope for this graph? Woe s he ale of th10. slope? 200 a ea What is the average.00 10 2.00 3.00 4,.00 5.00 6.00 7.00 8.00 9.00 price of a compact disc? Compact Discs Statistics: Slope Y Intercept C.O.R. Data Set 1 10.3+0.246 4.00+1.38 0.998 d) What is the mathematical model describing the graph? e) What is the cost of one disc? Why is this different than the average cost?Explanation / Answer
a)
dollars/disc
b)
using two clear points (4,45) and (1,15)
slope = dy/dx = 45-15 / 4-1 = 30 / 3 = 10 dollars/disk
c)
average = total dollar / total disc
= 95/9 = 10.55 dollars /disc
d)
y = mx + c
cost = m x CD + c
cost = 10xCD + 0.5 dollars
e)
cost of 1 disc is 10 dollars. But average is a little higher because of the initial cost. Which is represented in above equation as c. It is also called y-intercept.
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